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Finding the Third Proportional to 9,870 and 20,652

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Solution

The third proportional to 9,870 and 20,652 is: 43,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870 : 20,652 = 20,652 : x
  2. Step 2: Convert to fraction form
    9,870/20,652 = 20,652/x
  3. Step 3: Cross multiply
    9,870x = 20,652 × 20,652
  4. Step 4: Simplify right side
    9,870x = 426,505,104
  5. Step 5: Solve for x
    x = 426,505,104/9,870
  6. Step 6: Final answer
    x = 43,212.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.